{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Answers to Assignment 7 - Plotting\n",
    "\n",
    "Complete the tasks below. Please turn in a single Jupyter notebook named `7_first_last.ipynb` (substitute your first and last name). Please run Kernel > Restart & Run All on your notebook before turning in.\n",
    "\n",
    "#### Moons of the Solar System\n",
    "\n",
    "For this assignment, we will collect and wrangle data about the moons orbiting planets in our Solar System, and then we will make some plots from those data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import the required packages\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# use seaborn defaults\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### A. Data collection and wrangling\n",
    "\n",
    "A1. Find an online resource with data about the moons and planets of the Solar System (sizes and distances). The main ~20 moons would be a good set. (I found a source that had data for 23 moons: Moon, Deimos, Phobos, Callisto, Europa, Ganymede, Io, Dione, Enceladus, Hyperion, Iapetus, Mimas, Phoebe, Rhea, Tethys, Titan, Ariel, Miranda, Oberon, Titania, Umbriel, Nereid, Triton).\n",
    "\n",
    "A2. Create an Excel spreadsheet `moons.xlsx` with the following information about each moon (suggested column names shown): \n",
    "\n",
    "- Moon name (`moon_name`)\n",
    "- Host planet name (`planet_name`)\n",
    "- Moon diameter in kilometers (`moon_diameter_km`)\n",
    "- Moon–planet distance in kilometers (`moon_planet_distance_km`)\n",
    "\n",
    "A3. Create an Excel spreadsheet `planets.xlsx` with the following information about each planet (suggested column names shown): \n",
    "\n",
    "- Planet name (`planet_name`)\n",
    "- Planet diameter in kilometers (`planet_diameter_km`)\n",
    "- Planet–Sun distance in kilometers (`planet_sun_distance_km`)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### B. Comparing moon diameters and volumes to their host planets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "B1. Import `moons.xlsx` and `planets.xlsx` as Pandas DataFrames using `pd.read_excel()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_moons = pd.read_excel('../../data/moons.xlsx')\n",
    "df_planets = pd.read_excel('../../data/planets.xlsx')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "B2. Merge the DataFrames using the planet names (hint: set `left_on=planet_name` and `right_on=planet_name`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_solar = pd.merge(df_moons, df_planets, left_on='planet_name', right_on='planet_name')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "B3. Calculate the volume of each moon and planet; add these to your DataFrame (suggested column names: `moon_volume_km3`, `planet_volume_km3`). (Reminder: Volume = 4/3 * π * (Diameter/2)**3.)\n",
    "\n",
    "    $V = \\frac{4}{3} \\pi (\\frac{d}{2})^{3}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_solar['moon_volume_km3'] = 4/3*np.pi*(df_solar['moon_diameter_km']/2)**3\n",
    "df_solar['planet_volume_km3'] = 4/3*np.pi*(df_solar['planet_diameter_km']/2)**3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "B4. Using either Matplotlib or Seaborn, plot moon diameter versus host planet diameter (i.e., x-axis = `planet_diameter_km`, y-axis = `moon_diameter_km`) and label each moon next to its corresponding marker (but see B6). Save this plot as a PDF image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# B4 using Matplotlib\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,5))\n",
    "# scatter plot with marker size proportional to moon diameter\n",
    "ax.scatter(df_solar.planet_diameter_km, df_solar.moon_diameter_km, \n",
    "           s=df_solar.moon_diameter_km/1.5, facecolor='w', edgecolor='k', \n",
    "           marker='o', alpha=0.5)\n",
    "# axis limits and labels\n",
    "ax.set_xlim([-5000,155000])\n",
    "ax.set_ylim([-500,6500])\n",
    "ax.set_xlabel('Planet diameter (km)')\n",
    "ax.set_ylabel('Moon diameter (km)')\n",
    "# marker labels for moons larger than 2000 km\n",
    "# options for markers: ax.text/plt.text, ax.annotate/plt.annotate\n",
    "for index, row in df_solar.iterrows():\n",
    "    if row.moon_diameter_km > 2000:\n",
    "        ax.text(row.planet_diameter_km, row.moon_diameter_km, \n",
    "                '%s (%s)' % (row.moon_name, row.planet_name[0]), \n",
    "                ha='center', va='center')\n",
    "# save pdf - bbox_inches='tight' trims the margins\n",
    "fig.savefig('moon_planet_diameter.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 497.35x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# B4 using Seaborn\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,5))\n",
    "# scatter plot with marker size proportional to moon diameter\n",
    "sns.relplot(x='planet_diameter_km', y='moon_diameter_km', size='moon_diameter_km', sizes=(30,300),\n",
    "            data=df_solar, ax=ax)\n",
    "# marker labels for moons larger than 2000 km\n",
    "for index, row in df_solar.iterrows():\n",
    "    if row.moon_diameter_km > 2000:\n",
    "        ax.text(row.planet_diameter_km, row.moon_diameter_km, \n",
    "                '%s (%s)' % (row.moon_name, row.planet_name[0]), \n",
    "                ha='center', va='center');\n",
    "# save pdf - bbox_inches='tight' trims the margins\n",
    "fig.savefig('moon_planet_diameter_sns.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "B5. Using either Matplotlib or Seaborn, plot moon volume versus host planet volume (i.e., x-axis = `planet_volume_km3`, y-axis = `moon_volume_km3`) and label each moon next to its corresponding marker (but see B6). Save this plot as a PDF image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# B5 using Matplotlib\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,5))\n",
    "# scatter plot with marker size proportional to moon diameter\n",
    "ax.scatter(df_solar.planet_volume_km3, df_solar.moon_volume_km3, \n",
    "           s=df_solar.moon_diameter_km/1.5, facecolor='w', edgecolor='k', \n",
    "           marker='o', alpha=0.5)\n",
    "# axis limits and labels\n",
    "ax.set_xlim([-1e14,1.6e15])\n",
    "ax.set_ylim([-5e9,9e10])\n",
    "ax.set_xlabel('Planet volume (km$^3$)')\n",
    "ax.set_ylabel('Moon volume (km$^3$)')\n",
    "# marker labels for moons larger than 2000 km\n",
    "for index, row in df_solar.iterrows():\n",
    "    if row.moon_diameter_km > 2000:\n",
    "        ax.text(row.planet_volume_km3, row.moon_volume_km3, \n",
    "                '%s (%s)' % (row.moon_name, row.planet_name[0]), \n",
    "                ha='center', va='center')\n",
    "# save pdf - bbox_inches='tight' trims the margins\n",
    "fig.savefig('moon_planet_volume.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fuLiahc7dd98DfPLJYoYOHUFwcDCTJ0/ivvuGYZp/PfFZtWo19u7d7Z8vJiIlToWZiIifHUlNYek7Y3FlpxFaIYGY+h0LfW6z//3mhQEU3VS2fERQoYX83323nM8//5Ty5aNo164Do0c/zDvvvM+uXTvZvn1bQTuHw4HNZi/pryQifuK3wuz999+ne/fuBX+aNm3K008/7a/hREQCit1uxzQ9WJbF1i2bqRQbQ8U6HQiLrUtmcv6WGZbl+xOTHVo3ITFxX8FxWFg4U6b8h127dhacO3BgP3a7nWrV4v527gDx8Qln/4VE5Jzw2xqzPn360KdPHwC2b9/Ovffey8iRI/01nIhIQImOjuGSSxoyaFBf3n57JtWqVuHHb1/C9EBYdC3sQeG4sg771Ff9hArUr1eX4OBgdu/eRULCRVxxxZU88MDDPPfcU2RmZmC324mOjuHFFydSrlw5AI4cSSU9PY1LL73Mn19VREqQYVmW31/ENmDAAAYOHEjnzp19viY1NROPx3+hxcZGkpKS4bf+SzPlxjvlxjvlxrvY2EjS0rNZtTmZ/3648bSvf2Z4S2rGhLNo0UI2bvyZhx56zKfrpk2bQlRUBXr16nvaY54r+nvjnXJTvEDLi81mEB0dUWL9+f2pzJUrV3L8+PHTKsqAEv2S3sTGRvp9jNJKufFOufFOufGuQlQYbS6rxq87U/n2p/0+X9f3urrUrhFFRGgQAwb0Yd26lRw5coB69eqd9LqkpCR27/6d//znP9jtgb3GTH9vvFNuinch58XvM2ajRo3ihhtu4MYbbzyt6zRjdv4oN94pN94pN979PTc2p533vvyNRav2nPK6QV0a0OGKODzuk79XszTT3xvvlJviBVpeStWMWV5eHmvXrmX8+PH+HEZEpNTwuEz6XFuHG9vU4tMVO1m2bh957r8eAggPcdCxRQKdWsTjtBsXdFEmIkX5tTDbtm0bCQkJhIWF+XMYEZHSxfQQ5jDof10d+naoQ67Lg2l6sNtthDjt2A0w3SaW6fclwCISYPxamO3bt48qVar4cwgRkVLJssB0ezCAEBtg+2P3ItNEc2QiZZdfC7MuXbrQpUsXfw4hIiIicsHQzv8iIiIiAUKFmYiIiEiAUGEmIiIiEiBUmImIiIgECBVmIiIiIgFChZmIiIhIgFBhJiIiIhIgVJiJiIiIBAgVZiIiIiIBQoWZiIiISIBQYSYiIiISIFSYiYiIiAQIFWYiIiIiAUKFmYiIiEiAUGEmIiIiEiBUmImIiIgECBVmIiIiIgFChZmIiIhIgFBhJiIiIhIgVJiJiIiIBAgVZiIiIiIBQoWZiIiISIBQYSYiIiISIPxamH399df07NmTzp078+yzz/pzKBEREZFSz2+F2b59+xg7diyTJ0/m008/ZfPmzSxfvtxfw4mIiIhgt9vAbgOHHY8t//9aNhtOp/18h+YTh786Xrp0KV26dKFKlSoAvPLKKwQHB/trOBERESnD7HYbJga7kjN478vf2LL7SMFnNSpH0ufaOjS6OBqbZeExPecx0pMzLMuy/NHx2LFjcTqdJCYmkpSURLt27Rg9ejSGYfhjOBERESmj8lwm+5IzeOrN1aRn5HptFxJk5/8GNKVx7RjCQpznMELf+W3GzDRN1q1bx6xZswgLC+Puu+9m/vz59OzZ06frU1Mz8Xj8UjMCEBsbSUpKht/6L82UG++UG++UG++UG++UG++Um+KdmBeb3UbKsVz+Mfl73KeYCTueZ/Lc9DU80O9yLqsVXSIzZzabQXR0xFn3U9BfifV0gpiYGFq2bEnFihUJCQnhuuuuY+PGjf4aTkRERMogj2Hwz6mrTlmU/d3EuT+RkesOyLt4fivM2rdvz3fffcexY8cwTZMVK1bQsGFDfw0nIiIipYBpmsyd+w533jmIIUP6M3BgHyZPnkReXt4pr23T5kqOHDnCwoWf8cgjo3E4bYz+v0c5nLjlpNcd3PABx9MTC449Fsz78jcM28kLs5SUQzz66AOcuOpr2rQpvPzyBADee282H3/88Slj95XfCrPLLruMoUOH0r9/f7p06UK1atXo1auXv4YTERGRUuCll8bzyy+bmDjxv8yYMZs33nibffv2MGHCM6fdl9sDjvgbCY+tc9J22Ye3A4WLq5UbkzBP0f+ECc8yZMjQk86s9e59CzNnziQlJcXHqE/Ob2vMAHr37k3v3r39OYSIiIiUEklJB1i6dBGffLKY8PD8dVmhoaE89NA/2LRpAwB79+7h5ZcnkJ2dTWrqYerUqcu4cS8Uu7NDTp7JhsWvEpXQiogqDTn06yfkHNmNYbPjDKtIlcv6cuT3ZbiPHyPppzlUaXIrjpByHNo0H1dOGres/w89unenX79BRfr+9ddfSEtLo0GDk9/ts9vtdO7cmTfeeIMxY8acdY6087+IiIicE9u2beGii2oVFGV/io6OoV27DgB89tnHdO58I1OnzuC99z4mKekAq1Z9V2x/mdmugp9z0vaSk7qT+GseIP7q+3GGRZN7LImY+p1whJSj6uX9CK1Qk4M/zSEs5mIS2j7IPY+8xBdfLOTLL78o0veyZV/SqlUbn75X69atWbp0qa9pOCkVZiIiInJOGIbtlDsu3H33fURFVeDdd2fy0ksvcPhwCjk5OcW2ddj/usUYXK4KGAZ7v3udw9u+IKJKI0IrJhRq73HnkZO2h/LxrQCILBdB167dWL16ZZG+9+7dTVxcDZ++V1xcHAcOHCA31/tWHb5SYSYiIiLnRMOGjdizZxfZ2VmFzqekHOLhh+8nN/c4Tz31OJ9++hFVqlSlb9/+1K1bv8ji+z+Vi/jr9qbdGUr8NQ8Qe0lXwCBp/buk7z6x4PLA3/qqFhOBaXpwu93F9G7g8eQ/6ZmXl8dXXy0p9KnD8ddqMKfTiWEYJfKUpwozEREROSdiYmK5/vrOPP/802RlZQKQlZXJv/89nnLlyhMcHMKaNasYMuQuOnS4AYDNm3/B4yl+mb4dCAvJL5AykzeTuGoqoRXiial3A+XimhY8iWkYNizLg80RQkiFmhzds5LyEUFEBntYtOhzrrqqeZG+a9aM58CB/X9cb/Dcc+PYvz+/v23btlK9elxB23379hEXF0dQUNBZ58ivi/9FRERE/u7//u9RZs6cxogRd2C3O3C58rj66nbceedwAIYNu5cxYx4mNDSE8PAImjS5gsTExGL7shtQqUIY6UB4pfpkHdrG7uUvY3MEYXeGUblx/m4QEVUacfCnOVS6tCdVL+/HoV8+Zs/yTQxbCddd15EuXboV6btduw5MnPgSd945HKfTySOPjOGRR0Zjmia1a9ela9fuBW1XrFhBp06dSiQ/fnsl09nSzv/nj3LjnXLjnXLjnXLjnXLjnXJTvBPzYjjsPD9zLdv3pfvcR3T5EF6872pwn3zDjAcfHMnQoSO45JJGXttYloehQwfx1ltvERMT43MM3uhWpoiIiJRepod/DL6K+CqRPjWPigzm2eGtsPswL/Xww2OYMeNNr2vcAN5/fy6DBw8ukaIMNGPmt/5LM+XGO+XGO+XGO+XGO+XGO+WmeMXlxWYzsOx2Pvx6O1+u3cvxvKIzYXabQctLqzK46yUEGRamWTI1Rkm/K1NrzERERKRU83gs8Ljp0742PdvXZuPvh/nh14NkHXcRGuSgYa1oWjeuht2wsEwL048TP2dLhZmIiIhcEMw/1ow1rRPD5bVj8FgWNpuBDXC5THx/zfn5o8JMRERELigu11+3Mk2TU74TM5Bo8b+IiIhIgFBhJiIiIhIgVJiJiIiIBIhTFma5ublMnTqV999/n7S0NAYNGkTTpk259957SU/3fTM3ERERETm5UxZmTz31FL/++iuffvopt912G02bNuXTTz+lQYMGPPPMM+ciRhEREZEy4ZRPZW7atIkFCxaQmZlJ+/btGT16NAAjR46ke/fup7haRERERHx1yhkzy7IwTZOIiIiCogzg+PHjuN1uvwYnIiIiUpacsjC7/vrr6devH6ZpMmDAAAC2bNnCrbfeSufOnf0eoIiIiEhZccpbmaNHj6Zhw4bY7faCc4ZhcPvtt+tWpoiIiEgJ8mnn/+uvv77g55ycHOLj44mPjycnJ4fQ0FC/BSciIiJSlvj8Sqbp06fz6quvkpeXB+SvPTMMgy1btvgtOBEREZGyxOfCbMaMGbz33nvUrFnTn/GIiIiIlFk+F2bx8fHUr1//tDofNGgQR44cweHIH+bpp5/msssuO70IRURERMoInwuzgQMHMnr0aFq3bo3T6Sw4f/PNNxfb3rIsdu/ezbJlywoKMxERERHxzueKad68eRw8eJDjx48XOu+tMNu5cycAd9xxB+np6fTt25eBAweeRagiIiIiFzafC7Pk5GQWLFjgc8fHjh2jZcuWPPnkk7hcLm677TYuuugiWrdu7dP10dERPo91pmJjI/0+Rmml3Hin3Hin3Hin3Hin3Hin3BTvQs6Lz4VZtWrVSE5OpnLlyj61v/zyy7n88ssLjnv37s3y5ct9LsxSUzPxeCxfwzttsbGRpKRk+K3/0ky58U658U658U658U658U65KV6g5cVmM0p0MsnnwswwDLp168all15aaI3Z//73v2Lbr1u3DpfLRcuWLYH8NWdaayYiIiLinc+VUseOHenYsaPPHWdkZDBp0iTmzp2Ly+Vi/vz5jBs37oyCFBERESkLfC7MLr/8chISEgqOLcti2rRpXtu3b9+eDRs2cPPNN+PxeOjfv3+hW5siIiIiUtgpX2L+p2HDhpGcnAzAgQMHGDRoEIsWLTrpNaNHj2bRokV88cUXDB48+OwiFREREbnA+VyYPfjggwwdOpR3332Xnj170qJFC+bNm+fP2ERERETKFJ9vZXbq1AnTNHn00UeZNm0azZs392dcIiIiImXOKQuzESNGFDouX748Tz31FPHx8YD3pzJFRERE5PScsjA78UnM4p7MzM7OJiwsrOSiEhERESmDTlmY9ejR45SdDBgwgPnz55dIQCIiIiJllc+L/0/Gsvy3Q7+IiIhIWVEihZlhGCXRjYiIiEiZViKFmYiIiIicPRVmIiIiIgFChZmIiIhIgCiRwkxbZYiIiIicPZ8LM4/Hw5tvvsmjjz5KZmYmU6ZMwTRNAN59912/BSgiIiJSVvhcmP3rX//it99+Y+PGjQCsWLGCF154wW+BiYiIiJQ1Phdmq1atYvz48QQHBxMREcFbb73F999/78/YRERERMoUnwszh8OBzfZX86CgIBwOn9+BLiIiIiKn4HNlVbduXd59911M02Tnzp3MmDGD+vXr+zM2ERERkTLF5xmzxx9/nF9//ZXU1FT69etHVlYWY8aM8WdsIiIiImWKzzNmERERPP/88/6MRURERKRM87kw2759O7NmzeLo0aOFzk+cOLHEgxIREREpi3wuzEaPHk2bNm2oV6+eP+MRERERKbN8LsxCQkL4xz/+4c9YRERERMo0nxf/N2vWjOXLlxfs9i8iIiIiJcvnGbOYmBiGDx+OYRgAWJaFYRhs2bLFb8GJiIiIlCU+F2bz5s1j3rx51KhR47QGmDBhAmlpaYwfP/60gxMREREpS3wuzCpWrEjjxo1Pq/NVq1Yxf/582rVrd7pxiYiIiJQ5PhdmTZo0YdSoUdxwww0EBQUVnL/hhhuKbZ+ens4rr7zCiBEj2Lp169lHKiIiInKBMyzLsnxpOGjQoKIXGwZvv/12se1HjRpFv379SEpKYs2aNbqVKSIiInIKPs+YzZo1y+dO33//fapWrUrLli356KOPziiw1NRMPB6fasYzEhsbSUpKht/6L82UG++UG++UG++UG++UG++Um+IFWl5sNoPo6IgS68/nwuzZZ58t9vwTTzxR5NzChQtJSUmhe/fuHD16lOzsbJ5//nm9W1NERETkJHwuzKKiogp+drlcLFu2jGbNmhXbdvr06QU/f/TRR6xZs0ZFmYiIiMgp+FyYjRw5stDxXXfdxd13313iAYmIiIiUVT4XZieKiIjg0KFDp2zXs2dPevbseabDiIiIiJQZZ7TGzLIsfv31V2rVquWXoERERETKojNaYwZw0003cdNNN5V4QCIiIiJl1RmvMRMRERGRknXKwuzyyy/dGuU+AAAgAElEQVQveHH53/35EvP169f7JTARERGRsuaUhdmCBQvORRwiIiIiZd4pC7Pq1asX/Lxw4UJWrFiBy+WiTZs23HzzzX4NTkRERKQssfnacNq0aUyZMoV69erRsGFDpk+fzuTJk/0Zm4iIiEiZ4vPi/48//pg5c+YQEZH/PqjevXvTt29f7rnnHr8FJyIiIlKW+DxjBhQUZQCRkZE4HGe8P62IiIiInMDnwqx69erMnDkTl8uFy+VixowZVKtWzZ+xiYiIiJQpPhdm48aN48svv6RJkyY0adKEJUuWMHbsWH/GJiIiIlKm+HwvMisri1mzZpGTk4PH4yE8PNyfcYmIiIiUOT7PmA0ZMoQBAwawZMkSrS0TERER8QOfC7NvvvmGYcOGsWzZMjp06MDTTz/N1q1b/RmbiIiISJnic2Fms9lo27Ytr776KjNnzuSXX36hR48e/oxNREREpEzxuTBzu90sWbKEESNGMGjQIBo3bszHH3/sz9hEREREyhSfF4u1adOGOnXq0Lt3byZNmkRQUJA/4xIREREpc3wuzObOnUtCQkKxn40fP57HHnuspGISERERKZN8vpXprSgD+OGHH0oiFhEREZEy7bReyeSNZVkl0Y2IiIhImVYihZlhGCXRjYiIiEiZViKFmYiIiIicPRVmIiIiIgHCr2vMJk6cSJcuXejatSvTp08viaFERERELlin9dLLvLw8cnJyChViUVFR/OMf/yjSds2aNaxevZpPP/0Ut9tNly5daNu2LbVq1Tr7qEVEREQuQD4XZnPmzOGFF17A5XIB+bNkhmGwZcsWmjdvXqR9s2bNePvtt3E4HCQnJ2OaJmFhYSUXuYiIiMgFxufCbNq0acyZM4eGDRv63LnT6WTSpEm89dZbdOrUicqVK59RkCIiIiJlgWH5uAnZrbfeyty5c89okJycHEaMGEGXLl245ZZbzqgPERERkQvdab0rc/bs2XTo0IHg4OCC81FRUcW237FjB3l5eTRo0IDQ0FBuuOEGtm3b5nNgqamZeDz+27g2NjaSlJQMv/Vfmik33ik33ik33ik33ik33ik3xQu0vNhsBtHRESXWn8+F2dSpU8nLy+Ppp58uOPfnGrPiJCYmMmnSJObMmQPAV199Ra9evc4yXBEREZELl8+F2caNG0+r47Zt27Jx40Zuvvlm7HY7N9xwA127dj3tAEVERETKCp8LM4/Hw7Rp0/j2229xu920bt2aESNG4HB47+K+++7jvvvuK5FARURERC50Pm8w++9//5vVq1czePBgbr/9dn766ScmTJjgz9hEREREyhSfZ8xWrFjBhx9+iNPpBKBdu3bcdNNNfgtMREREpKzxuTCzLKugKAMICgoqdCwiIiISKOx2G4YBlgWm6Tnf4fjM58Ksfv36PP/88wwcOBDDMHjnnXeoW7euP2MTERER8ZlhGGA38Fiwbf9RjmXlERbioHb1KBx2AzsWpum/rbhKgs+F2dixY3nmmWe49dZbsSyL1q1b8+STT/ozNhERERGf2O0G2W6LdxduYdWmJMwT9kK99OIYBndtQHRkMFYAz6D5XJhFREQwYcIEEhMTMU2T+Ph4f8YlIiIi4hOb3cbBo8f559RV5OaZxbbZtOMwD7+2gtG3Xk7jWtEBW5z5/FTm7t276dq1Kz169KBXr15cd9117Nixw5+xiYiIiBTo3bsbmzZtKnTOMCDPYzH2JEVZ1qGtHN66GMuCV+f+xKH049jtNkaOHMayZV8C8PTTT7Jnz25/f4VT8rkwe+aZZxg6dChr165l3bp13H333YwbN86fsYmIiIiclM1u46Nvfue4l6LM4z5OypaFVKxzLZD/MMC0z37lxKVmd945nOeeewofXyHuNz4XZqmpqfTo0aPguFevXqSlpfklKBEREZGT2bDhJ4YNG8LAAbfwxov/R9ah4t/Hnb57FeGxdbHZgwrO/bY3jeNuE8P4q1316nFERETy3XfL/R36SflcmJmmSXp6esHxkSNH/BKQiIiIyMkcPZrOE088yujRD/Hv/8yk0mV9SfppDq7sorVJRtJGwis1KHJ+w/bD+U9x/k2zZs1ZvnyZ3+L2hc+L/wcOHMgtt9xC586dMQyDhQsXMnjwYH/GJiIiIlLE5s2/EBcXR6NGl7I7JYvgyCqEVkwgO3UH5cMqFmqbl5mCMzy6SB+Z2XlFzlWtWp2vv/7Sb3H7wufC7JZbbiE8PJwlS5YAcNttt9GsWTO/BSYiIiJSnPwNYw0syyIs+I9SxrKwPEXXmeXPiuWvG3PlHMWVdYiwmDpEhgVhWVahd347HA7sdp9vJvqFz6OPHz+exx57jDVr1rBmzRpee+01Bg0a5M/Y/MbptAMQFGTHZjNO0VpEREQCSaNGjdm7dze//voL0eVDsY6nkHNkF2HRFxdp6wyPwZWVCoAr+wjJGz/E8pjUrh7G3r17qV49rqBtUtJ+atZMOFdfo1g+z5gtWbKEFStWUKFCBX/G4zd2u4GJgcu0+O7nA6RlHCc02MHldSsRXS4YhwFud2DuaSIiIiJ/iYqK4plnJvDKKy+Sm5fLsSwXlS/rQ1BEbJG2kVUbk5XyG2ExtQmLvojwypeQtGoiI37+D92796RWrdoFbX/4YRW9et1yLr9KET4XZgkJCZQrV86fsfiNzW7j6HE3//toI5t3FV4YOPuLbVSJDmNwl0uoH18By13847YiIiJyfn3wwWfExkaSkpLBFVdcyRtvzMQwwI2NUS9/Q06uu8g15eNbsu/714muex02exBVGt3EhJFtqFQupNA7NPfvT+To0aM0b97yXH6lInwuzAYNGsTAgQNp3rx5ofuxI0eO9EtgJcVut3Ew/ThPTllJnpcZsYOp2UyYtY6BnerT4coaKs5ERERKCcuCIDs8M7wlT05ZVaQ4sztDiKnfmSPbv6JSg87834CmxJxQlAFMnTqZxx57osiTmueaz4XZ1KlTiYiIICMjw5/xFEhKOkCvXt1o0uQKXn99aqHPnnvuKRYtWsCCBV8SFRV10n7cwNg3Vnktyv7uncVbqV0jilqVIwrd1ly16ns2bvyZ4cPvZeTIYSQnHyQ8PKLQtYMH30H79tfx9NNPMnjwncTHJ/j8XUVEROTMmaaH2MhgXn2gLXOX/saKn/fj/lvhFVm1IW3btWdQ5waUD3MW+zqmceOeP5che+VzYZaTk8OcOXP8GUsRQUHB7N27h4MHk6hSpWpBHJs2bfDpeofTzpJ1+7zuBlycWYu28PjgqwqOs7Oz+O9/JzF16syCc/fcM4r27a8r9vo77xzOuHFPMGXK9PNedYuIiJQVpukhyDAY3LkegzrVZ/fBY2Rk5xEW7CShWjnsBtgsC0+AviPzTz4XZhdddBFbt26lfv36/oynELvdxrXXXs+SJYu47bY7AFi+/GvatGnL3LnvFLT75JOP+OCDudhsdipWrMgDDzxCzZrxpB07xsR/jSPjSCJgEB5bj5j6nTBsdrYvHEOFi9uRfXg77uPHqHhxO6ISWrIj8Sg5uSZhTgPLgg8/fJ9mzVoSEhLiU8x/3zn46qvb+SErIiIiUhzLsrDc+Vtj1Kocgc2Wv6XGn7ctA7sky+fzdhlJSUn07t2bjh070q1bt4I//tapU1e++GJhwfGiRZ/TpcuNBcc//riW2bPfZtKkKcycOYfrr+/EmDEPYVkWr/z7X5hGCPHXPEjNNqPIzUgibee3AFgeN/agcGq2vpdqTQeRsvkzPKYLgN0Hj2Gz5afmm2++olWrNoVimjx5EkOG9C/05+jRv96KEAg7B4uIiJRlHo+F2+3BPPGlmAHO5xmzBx980J9xeFW/fgNsNhtbt26hQoUKZGdnnfBo60quvfb6gm08unTpxsSJL5GUdIA1q1cS1WQohmFg2B2Ur9mC9F0rqFi7PQARVRoCEFy+OpbHjWXmgd1Jnuuv92ft3bubuLgahWI62a1MCIydg0VERKT08bkwO5+7/Hfs2IUlSxYSFVWBTp26FPrMND04HIXXclkWuN1uLMvCKLSBrIVl/TWRabM7AYqsBYsuH4rHY/3xma3gZ18Fws7BIiIiUvqUiuqhY8cuLFv2FV99tZTrr+9U6LMWLVry1VdLSEtLA+Dzzz+lfPnyxMXVoFnzljjTf8KyLDymm6N7fyAsps5JxwoNdhBXKaKgGKtRoyYHDiSeVryBsHOwiIiIlD4+z5ididdff51FixYB0LZtWx555JEz6ic2thLx8QlERERQrlz5Qp9ddVUL+vbtz/33j8DjsYiKimLChFew2Ww8+MBDPD9hPD98+zKWxyQ8th7Rda496VgdW9TEQf42GwDt2nVg9eqVXHHFlQVtJk+exMyZbxW6rm3b9tx++11AYOwcLCIiIqWPYVmWX1bFrVy5kkmTJvH2229jGAZDhw5l4MCBXH/99T5dn5qaedq3EItj2O1M/3wz3/68/5RtK1cM44V7WsPfNpjNyspk+PDbefPNWT49mbl/f2Kp3y7jz12VpSjlxjvlxjvlxjvlxjvlpniBlhebzSA6OuLUDX3tr8R6OkFsbCyPPfYYQUFBOJ1OLr74Yg4cOOCv4byyTJM7ujWkXdO4k7aLqxTBcyNaYT+hTg0Pj2D48HuZOXOaT+MFys7BIiIiUvr4bcbs73bv3k2/fv2YM2cOCQkJPl1TUjNmBew2so67mb98Byt+3o/rj539L7moIrdeX48alSIwPJ6SHbOUCrR/jQQS5cY75cY75cY75cY75aZ4gZaXkp4x83thtn37doYPH859991Hjx49/DmUT3Jy3RzPdeOxLAzDwGk3iAwPPt9hiYiIiPi3MPvxxx8ZNWoUY8aMoWvXrqd1bYnPmJ0g0CruQKLceKfceKfceKfceKfceKfcFC/Q8lLSM2Z+eyozKSmJe++9l1deeYWWLVv6axgRERGRC4bfCrNp06aRm5vL+PHjC87deuut9OvXz19DioiIiJRqfivMnnjiCZ544gl/dS8iIiJywfHrBrMiIiIi55rdYcPtAcNmYFkWdgMs0+IcbERx1lSYiYiIyIXBbiPP7WHhtztZvj6RjKw8QoIdXHVJZXq0rU25MCeYnlP3cx6pMBMREZFSz3DYWbx6D+99+Vuh89nH3Sxfv5/l6/fTqnFVhnW/FI/L7aWX80+FmYiIiJxTbdpcSa1aF2Oz2Qudf+GFl6hatdpp92fYbSxds7dIUXailRuT8HgshnVv5PPM2eTJk7jyymY0a9ai0Pk2ba5kwYIvCQ4O4tFHR/P666/79OrGU1FhJiIiIufcpElTiIqKKpG+3BbMXbrNp7arfzlIz3a1qVQu+JT7pf7yyyb27NnFPfeM8tomPDycG2+8kYkTJ/Loo4+eVtzFUWEmIiIiAWP9+nW88sq/mDVrXpHjadOmsH37Fg4cSKJ27bqMGTOW119/hW9WfM+xbDchUTWo1LAbNkcIO796gchqTcg+/Bse13Eq1LqGqISWWJaHR8aMxXE8iezsLCzL4tFHn6Bx4yZFYnnrran06tX3lDF37tyZl156iTvvvJOYmJiz+v4qzEREROScGzVqeKFbmVWrVuOFF1465XX79+9n+vQ5OBwOpk2bwqHDKTTs9CgHDmeRvPEDUjZ/TuXGvQDwuLKp2WYU7uNH2btiIqEVE/CYeaQnHWTBBzOxWxazZs3gnXdm8q9/FS7MMjIy2LjxJyZMePmUMQUHB9OoUSOWL19Or169TjMThakwExERkXPuTG9lNmnSBIcjv3xZvfp7hg4fyXurXRiGjaiE1hxYN7OgbVRCq/z3YodGERZbj6yU36h4cVvs9Try8fwPSErcx08//UhYWFiRcfbv30d0dAxOp9OnuOLi4ti1a9dpf58T2c66BxEREZESYhgGf99uzO0u/ATl34so0/RgGBAe+kfxZFlYHvNvnf2tzLE8GIaNzOQt7F8zHZsBV1/dlptv7uVlfzOj0Bq0337byo4dv/8xTP75PwtEAKfTid1e+GGGM6HCTERERAJGVFQFkpMPkpZ2BMuy+PLLL7y2bd68JZ/O/4BWl1bCsjyk71lJeGzdgs+PJf4IgCsnjezD2wmvVI/sw9up1aApPXv2oX79BqxY8Q0eT9EnNKtXjyMtLZXc3FwAVq78jtmz82fjtm3bSlRUBcLDwwvaJyYmctFFF53199etTBERETnnTlxjBjB8+D20bNmG7t17cuedg4iOjqF166vZsuXXYvsYMuROXn99Iu++9gj7Dx0jJKomlRp1L/jclX2EPSsmYpkuYhveRFBEJaLiW5C37xMGDeiDaZpcdVULli//Go/Hg83213xVZGQkjRtfzvr162jZsjU9e/Zl3LgnGDSoL263m8ceewLDMADIy8vj559/5rnnnjvrvBhWgL6fIDU185SPsZ6N2NhIUlIy/NZ/aabceKfceKfceKfceKfceKfcFK+4vBh2G1+s2cvcpX/tY7bzqxeo1nQgIVE1CrVt3rAyI25ujGWanMqmTRt4++23ePHFiV7b2GwGy5cvYfv27SWyXYZuZYqIiEipZpkeOjaPp0+HOidt1/LSqtzd8zKfijKASy+9jJo141m9eqXXNtnZ2SxYsID77rvvtGL2RjNmUoRy451y451y451y451y451yU7yT5cWw2cg1PXz+/S6+WZ9IZo6LkCAHVzWoTM/2tSkfFuRzUeYrm80gOjqixPrTGjMRERG5IFgeD8E26N3uYm5ue/EfT3ha2A0Dy/SUeFHmDyrMRERE5IJhWWC6PRh/HBuAb2/FDAxaYyYiIiISIFSYiYiIiAQI3cosQQ6HDcPI3ynYNEvTxKmIiIgEAhVmZ8lmM7AMA7cFm35PJSPHRcVywdSvWRGbYeUvNgzI515FREQk0KgwOwt2u41cj8WUjzayftuhQgWYw27jmsurMbBTA2wej1+3/hAREZELQ5laY/bqqy8yZEh/hgzpT6NGjejXr2fBcW7u8SLthwzpT0ZGBpmZmYwaNaLQZ3a7QY7b4qFJK/hx66Eis2Ju08PX6xL559RVWDYbhkERzzzzJDt3/s769eu4+uqrWLt2daHPX355AtOmTQFg3rzZLFq04OwSICIiIgGtTM2YjR79cMHPt9zSnbFjn6V+/Uu8tp8xYzYASUkHiryny43BhFlrOJaVd9IxEw9lMnPRFoZ0ro/l/mvd2VdfLSU8PIJatWqzfv06nE4nzz77FDNnziUqKqpIP7163cJdd91Gs2YtiI6O8eHbioiISGlTpmbMTqV9+5Y8+eRj9OvXk61bN9OmzZWkp6fz/PPjyM3NZciQ/pimyYYNP3PXHbexbM5T7FkxkaxD2wA4um8d+9fOYP/amexe/m/2rHiN3Ixkvvt5P6ZVeMrsrbemcPPNvQqOq1ePo0WLVjz//LhiY7Pb7bRvfz3vvjvTfwkQERGR88rvhVlmZiY33ngjiYmJ/h7qrLlcLlq3vpo5cz4qNJM2ZsxYgoODmTFjNpmZGTz55CNc3r4/CW0fpEqTW0j6aQ6u7CMA5KTupFKj7iS0/T9CK9Qgbcc3uE2LzbtScTjy071z5+/k5uZSq1btQuOPHv0w+/bt4cMP3ys2vmbNWrB8+TI/fXsRERE53/xamG3YsIF+/fqxe/dufw5Toi677PKTfr558y9Uj6tB8B9vqw+OrEJoxQSyU3fkH5ePwxka9cfP1THzsgE4cuw4xh8Lzfbs2U316jWK9B0aGspTTz3P1KmT2bnz9yKfV61ajeTkg+Tm5p75FxQREZGA5dfCbN68eYwdO5ZKlSr5c5gSFRoadtLPTdODzTAIC3H+ddKysDz579+y2f++bM8A8p8KCA918uf74vPf3VX8Pmf16tVn8OA7eeqpx8nLK7x+zel0YhgGNpvuQIuIiFyI/Lr4/7nnnjvja0vyTe3eREWFERsbecK44VSsGFnoOC/PicfjISYmgrZtWzJ+/NP0L5cJQG7GQXKO7CL2khvJSdvjdawmdWOpUCEcgMsuu4TJkw8UjB0VFYbDYS84HjXqHn7+eR1Llixi2LBhBee3bTtAXFwc1apVLLkkeHFiXuQvyo13yo13yo13yo13yk3xLuS8BOxTmampmX7f+ys9PZuUlIwTxs3CNJ2FjiMjI2nQoCGdOnXmP/95g6efHs9///cq+/anYnqg8mV9CIqI9VqYXVYnBhsUjFWhQlUcDidr124kIeEi0tOzcbvNQrE88sg/GTLkVrKycgvOL178Jddcc22RmEtabGyk38corZQb75Qb75Qb75Qb75Sb4gVaXmw2o0QnkwzL8v++9Ndeey1vv/02cXFxPl/j78LsbP8fa7fbOHj0OGMmf495kjjDQ538e9Q1hNgp9H2WLFnMxo0/89BDj/k0nmma3HHHQF555XUqVow+47h9EWh/6QOJcuOdcuOdcuOdcuOdclO8QMtLSRdmWqx0hkzTQ+XyITx/d2sqlgsptk2NypG8eN/VhDqMIkXmDTd0IiPjKDt2FF3kX5wPPphL3779/F6UiYiIyPkTsLcySwOP6aFKVAgv3teGg6nZfLl2Lzm5bqIigunYIp5y4UE4wOsLzceNe8HnsW65ZUAJRS0iIiKB6pwUZl9//fW5GOa8ME0PBhAXHcodXRvg8VjYbTZcLhPL9GCe7wBFRESk1NCMWQkxTQvTzC/DTIqfIRMRERE5Ga0xExEREQkQKsxEREREAoQKMxEREZEAocJMREREJECoMBMREREJECrMRERERAKECjMRERGRAKHCTERERCRAqDATERERCRAqzEREREQChAozERERkQChwkxEREQkQOgl5n4QFGTHMAw8HguXyzzf4YiIiEgpocKsBBl2G6YFX63fz8HUbKrFhtPy0qrYAcv0nO/wRCQAORw2XB6wAANw2sDt1u8LkbJKhVkJsTsdzP92B598uwPL+uv89M9+pU+HunRuGY9Hs2ci8gebzcCy21i3LYVPV+zkaGYulSqE0aNdberVjALTg/X3XyYiUiaoMCsBdoeNJWv38vHyHUU+81jw3pe/ERkexDWXVsXtVnEmUtYZhoHHZuPJ/61if0pmwfm0jFzGv72WBgkVeHTQVVgu93mMUkTOBy3+LwEmBh8t+73g2GYzCAtxYDP+avPe0m3oV6yIAGAz+O9HGwsVZX+3ZXcaH3+7A7tDv6JFyhrNmJ0lm81gf2oWOblu4ipF0KNdbWpWjuRYVh7lIoLYtf8o87/ZQVJqFukZuVQIc6C7EyJlm2nBui3JBcc2A4KcdnJdZsHvhy9W7+Gmq2udpwhF5HxRYXaWDAOyctxcclFFbutyCdM+/YXt+9ILPq+fUIHR/S7nzU9+ISfXTYUwJ/nLfEWkLPrzH3OWBdViwunZvjbxVcqRmeMiMiyILbtTmf/NDo4cO05OrptQu3HqTkXkgqHC7Cx5PBbVYsK586ZGjJ26iswcV6HPt+5O44UZa3nijuZEhjm1mFekjLOs/OKsTo0ohnZvxJufFP7HXJO6sfxjyFW89M6PGIaKMpGyRoXZWbIsKBfu5KNv9hYpyv6UnpnL+m3JdGoZj/u4VpqJlGWWZVGlYjjDelzKc2+tIT0zt9DnP/+WwuH0HO7r04Rgpx1MPTAkUpaUycLMbi/ZBbVut0VokIMJI9vg8Vh4LIvPv9/Fyo1JBW1WbUri+qtqlui4IlI6BQfZ2LLrSJGi7E+JhzI57jIJCbaRm63CTKQs8Wth9tlnn/Hf//4Xt9vN4MGDGTBggD+H84nhsHPo6HHWbT/MZbVjcNrBdJ3lZo5G/p8n/7eSPLeH8FAnd3VvRLmwIBav3gOA6bEwPZYegxUR3G4PP249dNI2a35NotFFFc5RRCISKPxWmCUnJ/PKK6/w0UcfERQUxK233krz5s2pXbu2v4Y8JXuQg8++28UHX28HIMhh45UH2hIRZMc8w535bTaDw8eOM2fJtoJzWTkuJr33ExNGXs2Xa/fhNj1c2aAywU4brlzt6C0i4DjFov4gp11PcIuUQX6bwFm5ciUtWrQgKiqKsLAwOnbsyOLFi/01nE/cHotPv/1rE9g8t4dPvt2BM8h+xn06nXa+WrevyHmPBdv2phFfNZKQIDtdWiXgztP6MhEBhwEdW8SftE2Hq2qSe7z4dasicuHy24zZoUOHiI2NLTiuVKkSGzdu9Pn66OiIEo8pJS2b4CA7eX97D114qJOQkCAiI0LOuN8KkcVfGxkWRGiwnX/e2YKIUCfhoUFnPMa5Fhsbeb5DCFjKjXfKjXcn5qZeTYPaceX5PfFokbbNGlYmulwIFcqd+e+l0kR/b7xTbop3IefFb4WZx+Mp9Ki3ZVmn9eh3amomHk/JzuM7gxwM79mYV2avx/RYVKoQyo1tanE0Peusbhlc2zSOD5dtJzfvr0W6FcuFUD+hApFhTqLLh5CTlUe2l4W+gSY2NpKUlIzzHUZAUm68U268Ky43Tqedx29vzofLtvP1un1kH3dTPiKIzi0volPLeDwud5nIp/7eeKfcFC/Q8mKzGSU6meS3wqxKlSqsW7eu4DglJYVKlSr5azifuPLcNEyoyNQx15GbZxISZCfIBmd7h9FhwMv3X8PMhZvZk5TBJRdV5KarL2b+st9p1zSOILuBdYZr2ETkwuRymTiDnfS5ti43NI/HbXpw2G1ERQSD5cFdwv8wFZHSwW+FWatWrXjttdc4cuQIoaGhLFmyhGeeecZfw/nMcpsYQI3K+RV3Xgn06TE9hDtt3H3zpXgssNsNLKBPhzo4jfwnsERETuTKdREUZKdCZDAej4XdboDpIS9PW2SIlFV+K8wqV67MAw88wG233YbL5aJ37940btzYX8Odd/m3XS0MwPNHHWaAXlwuIieVX4TlF2Iqx0TEr/uYdevWjW7duvlzCBEREZELhvY7FREREQkQKsxEREREAoQKMxEREZEAocJMREREJECoMBMREREJEH59KvNs2Gy+vyUgkMcorew8EUUAAA1/SURBVJQb75Qb75Qb75Qb75Qb75Sb4gVSXko6FsOyzuZlRCIiIiJSUnQrU0RERCRAqDATERERCRAqzEREREQChAozERH5//buPSiq+n3g+BuvhNmYcrHykjGpiXfNNK0ZLRV0F3LxMqJQeZcx0vESupiOBCqaYqPGoBU2aqIMiDBe8IZTaeiYSnjDZLxUYnhDQEgun98f/NiREHadr+7Zdp/XX5z9nD377DNnnnnO53yWI4SwEdKYCSGEEELYCGnMhBBCCCFshDRmQgghhBA2QhozIYQQQggbIY2ZEEIIIYSNkMZMCCGEEMJG2H1jlpKSwrBhwxgyZAhbtmypMX7+/HkMBgNDhw7FaDRSVlamQZTaMJebAwcO4Ofnh6+vL8HBweTn52sQpTbM5aZKeno6gwYNsmJk2jOXm5ycHAIDA/H19WXixIly3jzi7Nmz+Pv74+vry9SpU7l//74GUWqjsLAQnU7HH3/8UWPMkesw1J0bR67DUHduqthdHVZ2LDc3Vw0cOFDdvXtXFRUVKb1ery5dulRtn+HDh6tTp04ppZSaP3++2rJlixahWp253BQUFKj+/fur3NxcpZRS0dHRKjw8XKtwrcqS80YppfLy8pS3t7caOHCgBlFqw1xuKioq1JAhQ9SRI0eUUkqtWLFCRUVFaRWuVVly3owdO1alp6crpZRaunSpWrVqlRahWt3p06eVTqdTXl5e6vr16zXGHbUOK1V3bhy5Ditl/rxRyj7rsF3PmB09epS+ffvSrFkzXFxcGDp0KHv37jWN//nnn5SUlNC9e3cADAZDtXF7Zi43paWlLFq0CA8PDwA6dOjAjRs3tArXqszlpkpYWBgzZszQIELtmMvN2bNncXFx4d133wVg2rRpjBs3TqtwrcqS86aiooKioiIAiouLcXZ21iJUq9u+fTuLFi3C3d29xpgj12GoOzeOXIeh7txUscc63EDrAJ6lv//+Gzc3N9O2u7s7mZmZtY67ublx8+ZNq8aoFXO5efHFFxk8eDAAJSUlxMbGEhgYaPU4tWAuNwDff/89nTp1olu3btYOT1PmcnPt2jVcXV1ZsGAB58+f57XXXmPhwoVahGp1lpw3oaGhTJgwgcjISJ577jm2b99u7TA1ERERUeuYI9dhqDs3jlyHoe7cgP3WYbueMauoqMDJycm0rZSqtm1u3J5Z+t0LCgqYMmUKHTt2ZMSIEdYMUTPmcpOdnU1aWhrBwcFahKcpc7kpKyvj+PHjjB07lqSkJFq3bs2yZcu0CNXqzOWmpKQEo9FIXFwcP/30EwEBAXz22WdahGpTHLkOW8oR67A59lyH7boxa9myJXl5eabtvLy8alOi/x6/detWnVOm9sRcbqDySjYgIIAOHTqYvXKxJ+Zys3fvXvLy8vD392fKlCmmPDkCc7lxc3Ojbdu2dOnSBQCdTldj1shemctNdnY2jRs3pmvXrgCMGTOG48ePWz1OW+PIddgSjlqHzbHnOmzXjdnbb7/NsWPHuHPnDsXFxaSlpZnWvgC88sorNG7cmJMnTwKQnJxcbdyemctNeXk506ZNw8fHB6PR6FBXsOZyExISwr59+0hOTiY2NhZ3d3e2bt2qYcTWYy43PXr04M6dO1y4cAGAQ4cO4eXlpVW4VmUuN23btiU3N5ecnBwADh48aGpgHZkj12FzHLkOm2PPddiu15h5eHgwa9YsgoKCKC0tZeTIkXTt2pXJkycTEhJCly5dWLlyJWFhYRQWFuLl5UVQUJDWYVuFudzk5uZy7tw5ysvL2bdvHwCdO3d2iCs2S84bR2VJbtatW0dYWBjFxcW0bNmSqKgorcO2Cktys3TpUmbOnIlSihYtWhAZGal12JqROlw7qcO1c4Q67KSUUloHIYQQQggh7PxWphBCCCHEf4k0ZkIIIYQQNkIaMyGEEEIIGyGNmRBCCCEcgiXP3nzUvHnzSExMNG0nJSUxYMAA/Pz88PPzY/Xq1U89Rrv+VaYQQgghBMCZM2cICwvjypUrZve9efMmixYt4tixY/Tt29f0elZWFqGhoeh0umcWp8yYCSGeSGhoKN98880zOfbatWs5cODAUz9uYmIiU6dOferHfRL/a94KCgoICQlBp9MxbNgwYmNjn2J0Qti/xz17c+fOnYwYMQI/Pz8WLFjAP//8A0BKSgrvvfcePj4+1Y7x22+/kZSUhF6vZ86cOeTn5z/1OKUxE0LYjIyMDMrKyrQOwyatWbMGDw8PUlNTSUhIYNu2bZw6dUrrsIT4z4iIiKB3796m7UuXLrF9+3a2bdtGcnIyLVq0MF08TZo0iVGjRtU4hpubG8HBwezatYuXXnqJJUuWPPU45VamEOKxMjIyWLlyJS+//DI5OTk4OzvXeO5lQkIC8fHxlJaWkp+fz+TJkwkICCAxMZH9+/dTr149rl69irOzM8uXL8fT05OCggIiIiLIzs6mtLSUfv36MW/ePOLj48nKyiIqKor69eubHt78b/Hx8Rw+fJiYmBgALl++zEcffUR6ejqnTp0iKiqK4uJiGjZsyMyZM2v8F/nAwEDGjRuHt7d3je0uXbrw8ccfc/ToUR48eMCMGTPYu3cv2dnZuLu7ExMTg4uLC5cvXyYiIoJ79+5RXl5OYGAgI0eOtDi3kZGRXLx4kfXr1xMeHo6zszPZ2dncvn2bQYMG0axZMw4fPkxeXh5ffPEF/fr1w2g0Ul5eDlQ+7unhw4c0bdrU4s8UQlSXkZHB1atXGT16NAClpaV06tSpzvesW7fO9PekSZNqrVP/C5kxE0LUKisri8DAQFJSUjAYDMydO9c0VlRUxI4dO4iNjWXnzp2sXr2aFStWmMZPnDjBwoULSU1NpVu3bqZbb5GRkXh5eZGYmMjOnTu5e/cu3333HePGjaNz587MmzevzmI3fPhwTp48aXq+YmJiIgaDgfv37xMSEoLRaCQlJYXly5czd+5crl+/bvH3ffjwIa6uriQkJPDBBx8QFhaG0Whk9+7dFBYWcvDgQcrKyggJCWH27NkkJiayefNmvv32W06fPm32+EoplixZwl9//cWGDRto0qQJAOfOnWPTpk2mY7m4uLBt2zaCgoLYsGEDAE5OTjRo0IA5c+ag0+no06cP7dq1s/i7CSGqKy8vx8fHh+TkZJKTk9mxYweff/55rfsXFBQQFxdn2lZKUb9+/acelzRmQohadezY0TT17+/vz/nz57l37x4ATZo0ISYmhiNHjhAdHU1MTAwPHjwwvdfLy4uWLVsC0KlTJ9NajPT0dOLj4/Hz88NgMJCZmUl2drbFMT3//PMMHjyYXbt2UV5eTkpKCiNHjiQzM5M2bdrQrVs3AF5//XV69uz5xA8KHzp0KABt2rShffv2eHh4UK9ePVq1akV+fj5Xrlzh2rVrLFiwAD8/P8aPH09JSQnnzp0ze+y4uDh++OEHPvnkExo1amR6feDAgTRs2BA3NzdcXFx45513TDFU5bvKypUr+eWXX8jPz6929S6EeDJvvfUW+/fv5/bt2yilWLx4MZs2bap1fxcXFzZu3MiZM2cA2Lx58zOZMZNbmUKIWj3uarBevcrrudzcXMaMGcPo0aPp1asX3t7eHD582LSfs7Oz6W8nJyeqnv5WUVHBmjVr8PT0BOD+/ftP/HDm0aNHs3DhQjw9PfH09KR169ZcunSpxnGUUpSVldGwYcMar1cpLS2tNvbovv9+H1ReZTdt2pTk5GTTa7du3bLotuKbb75Jz549mT9/PvHx8abjP9qkATRoULM0//jjj6ZGsUmTJgwfPpy0tDSznymEeLyOHTsyY8YMPvzwQyoqKnjjjTeYMmVKrfvXr1+f6OhoFi9eTElJCa+++uozeRawzJgJIWp14cIFLly4AFSu7erRowcvvPACUHmbs3nz5gQHBzNgwABTU1a1Dqo2AwYMIC4uDqUUDx8+ZPr06WzevBmoLHyWLP7v3r07ULneo2qBbvfu3cnJySEzMxOoXNh74sQJ+vTpU+29zZs3JysrC4Dff/+dixcvWpSLKu3atcPZ2dnUmN24cQOdTmc6Zl06d+7M+PHjadq0KWvXrn2iz92zZw/r1q0z5W3Pnj3VfsYvhLDMoUOHaNWqFQCjRo0iNTWV3bt38+WXX9K4ceNq+y5btgyDwWDa7t27N0lJSezZs4evv/76mazzlMZMCFErV1dXoqOj0ev1HDhwoNrVYf/+/fHw8MDb2xsfHx9u3LhB8+bNuXr1ap3HNBqNPHjwAL1ej16vp3379kyaNAmAQYMGsWrVKpKSkszGNmrUKK5fv877778PVDZca9asITw8HL1ez+zZs1m6dGmNdVjTp0/n559/RqfT8dVXX1X7lZYlGjVqxPr160lISECv1zNhwgQ+/fRTevXqZdH7nZyciIyMZOvWrfz6668Wf25oaCgFBQXo9XoMBgNeXl4EBQU9UexCCNvnpB6d0xdCiP+XkZFBeHg4qampWocihBAOQ9aYCSFszsaNG0lJSXns2MSJE/H19bVyRObl5OQwa9asx461a9eO6OhoK0ckhPgvkhkzIYQQQggbIWvMhBBCCCFshDRmQgghhBA2QhozIYQQQggbIY2ZEEIIIYSNkMZMCCGEEMJG/B+ROo83CMFXqAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 497.35x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# B5 using Seaborn\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,5))\n",
    "# scatter plot with marker size proportional to moon diameter\n",
    "sns.relplot(x='planet_volume_km3', y='moon_volume_km3', size='moon_diameter_km', sizes=(30,300),\n",
    "            data=df_solar, ax=ax)\n",
    "# marker labels for moons larger than 2000 km\n",
    "for index, row in df_solar.iterrows():\n",
    "    if row.moon_diameter_km > 2000:\n",
    "        ax.text(row.planet_volume_km3, row.moon_volume_km3, \n",
    "                '%s (%s)' % (row.moon_name, row.planet_name[0]), \n",
    "                ha='center', va='center');\n",
    "# save pdf - bbox_inches='tight' trims the margins\n",
    "fig.savefig('moon_planet_volume_sns.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "B6. Optional: Label only the moons larger than a certain size, to remove the label clutter around the smaller moons.\n",
    "\n",
    "B7. Optional: Resize the markers so they are proportional to moon diameter."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### C. Comparing moon and sun angular diameters\n",
    "\n",
    "C1. Calculate the angular diameter of each moon as if you were standing on the surface of its home planet; add these to your DataFrame (suggested column name: `moon_angular_diameter_arcsec`). (Reminder: Angular diameter in arcseconds = 206265 * Diameter / Distance.)\n",
    "\n",
    "    $\\delta = 206265 \\times \\frac{d}{D}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def angular_diameter(d, D):\n",
    "    ad = 206265 * d/D\n",
    "    return(ad)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_solar['moon_angular_diameter_arcsec'] = angular_diameter(df_solar.moon_diameter_km, \n",
    "                                                            df_solar.moon_planet_distance_km)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "C2. Calculate the angular diameter of the Sun as if you were standing on the surface of each home planet; add these to your DataFrame (suggested column name: `sun_angular_diameter_arcsec`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "sun_diameter = 1392684"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_solar['sun_angular_diameter_arcsec'] = angular_diameter(sun_diameter,\n",
    "                                                           df_solar.planet_sun_distance_km)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "C3. Using either Matplotlib or Seaborn, plot moon angular diameter versus Sun angular diameter for each moon (i.e., x-axis = `sun_angular_diameter_arcsec`, y-axis = `moon_angular_diameter_arcsec`) and label each moon next to its corresponding marker (but see B6). Add a line corresponding to a 1:1 ratio. Save this plot as a PDF image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# C3 using Matplotlib\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7,7))\n",
    "# scatter plot of moons with marker size proportional to moon angular diameter\n",
    "ax.scatter(df_solar.sun_angular_diameter_arcsec, df_solar.moon_angular_diameter_arcsec, \n",
    "           s=df_solar.moon_angular_diameter_arcsec*1.5, facecolor='w', edgecolor='k', \n",
    "           marker='o', alpha=0.7, zorder=2)\n",
    "# scatter plot of suns with marker size proportional to sun angular diameter\n",
    "ax.scatter(df_solar.sun_angular_diameter_arcsec, df_solar.sun_angular_diameter_arcsec, \n",
    "           s=df_solar.sun_angular_diameter_arcsec*1.5, facecolor=sns.xkcd_rgb['yellow'], \n",
    "           edgecolor='k', marker='o', alpha=0.5, zorder=1)\n",
    "# x=y line representing 1:1 ratio of moon to sun angular diameter\n",
    "ax.plot([0,2000], [0,2000], ':', zorder=0)\n",
    "# axis limits and labels\n",
    "ax.set_xlim([-100,2100])\n",
    "ax.set_ylim([-100,2100])\n",
    "ax.set_xlabel('Sun angular diameter (arcsec)')\n",
    "ax.set_ylabel('Moon angular diameter (arcsec)')\n",
    "# marker labels for moons with angular diameter > 800 arcsec or solar angular diameter > 300 arcsec\n",
    "for index, row in df_solar.iterrows():\n",
    "    if row.moon_angular_diameter_arcsec > 800 or row.sun_angular_diameter_arcsec > 300:\n",
    "        ax.text(row.sun_angular_diameter_arcsec, row.moon_angular_diameter_arcsec+50, \n",
    "                '%s (%s)' % (row.moon_name, row.planet_name[0]), \n",
    "                ha='center', va='center')\n",
    "# save pdf - bbox_inches='tight' trims the margins\n",
    "fig.savefig('moon_sun_angular_diameter.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 497.35x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# C3 using Seaborn\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7,7))\n",
    "# scatter plot with marker size proportional to moon diameter\n",
    "sns.relplot(x='sun_angular_diameter_arcsec', y='moon_angular_diameter_arcsec', size='moon_diameter_km', sizes=(30,300),\n",
    "            data=df_solar, ax=ax)\n",
    "# marker labels for moons with angular diameter > 800 arcsec or solar angular diameter > 300 arcsec\n",
    "for index, row in df_solar.iterrows():\n",
    "    if row.moon_angular_diameter_arcsec > 800 or row.sun_angular_diameter_arcsec > 300:\n",
    "        ax.text(row.sun_angular_diameter_arcsec, row.moon_angular_diameter_arcsec+50, \n",
    "                '%s (%s)' % (row.moon_name, row.planet_name[0]), \n",
    "                ha='center', va='center')\n",
    "# x=y line representing 1:1 ratio of moon to sun angular diameter\n",
    "ax.plot([0,2000], [0,2000], ':', zorder=0)\n",
    "# save pdf - bbox_inches='tight' trims the margins\n",
    "fig.savefig('moon_sun_angular_diameter_sns.pdf', bbox_inches='tight')"
   ]
  },
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   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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